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Finding the Fourth Proportional to 46,980,116.40, 65,839,347.60 and 46,980,116.40

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Solution

The fourth proportional to 46,980,116.40, 65,839,347.60 and 46,980,116.40 is: 65,839,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,980,116.40 : 65,839,347.60 = 46,980,116.40 : x
  2. Step 2: Convert to fraction form
    46,980,116.40/65,839,347.60 = 46,980,116.40/x
  3. Step 3: Cross multiply
    46,980,116.40x = 65,839,347.60 × 46,980,116.40
  4. Step 4: Simplify right side
    46,980,116.40x = 3,093,140,213,948,060.50
  5. Step 5: Solve for x
    x = 3,093,140,213,948,060.50/46,980,116.40
  6. Step 6: Final answer
    x = 65,839,347.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.